Question #e39a0

1 Answer
Oct 18, 2017

-2*{x-(-1)}^2+8

Explanation:

-2*(x+3)(x-1)
= -2*(x^2+3*x-x-3)
= -2*(x^2+2*x-3)
= -2*(x^2+2*x+1) +8
= -2*(x+1)^2 +8
= -2*{x-(-1)}^2 +8
It is the vertex form of the equation.

Note that a equation is said to be in vertex form if it is in the form a*(x-h)^2 +k where x is variable & others are constant.